「數學科目分類」:各本之異
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Replacing page with ''''數學科目分類'''者,乃亞美利堅數學協會所定之數位分類法。 眾數學雜誌皆以之為據,令研究報告及釋文著者為其文附分類號�...' |
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'''數學科目分類'''者,乃[[亞美利堅數學協會]]所定之數位分類法。 |
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(from http://www.ams.org/msc/) |
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眾數學雜誌皆以之為據,令研究報告及釋文著者為其文附分類號。夫分類號之列,乃為二大數據庫所需也,即[[數學評論]]及[[數學文摘]]。 |
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以下為 2000年以來[[亞美利堅數學協會]]所編之[[數學回顧]](''Mathematical Reviews'') |
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與歐洲眾數學協會所編之[[中央數學報]] (''Zentralblatt MATH'') |
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通用之分類系統: |
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{{stub}} |
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2000 數學科目分類 |
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*00-xx General |
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*01-xx History and biography [See also the classification number -03 in the other sections] |
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*03-xx Mathematical logic and foundations |
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*04-xx This section has been deleted {For set theory see 03Exx} |
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*05-xx Combinatorics {For finite fields, see 11Txx} |
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*06-xx Order, lattices, ordered algebraic structures [See also 18B35] |
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*08-xx General algebraic systems |
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*11-xx Number theory |
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*12-xx Field theory and polynomials |
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*13-xx Commutative rings and algebras |
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*14-xx Algebraic geometry |
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*15-xx Linear and multilinear algebra; matrix theory |
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*16-xx Associative rings and algebras {For the commutative case, see 13-xx} |
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*17-xx Nonassociative rings and algebras |
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*18-xx Category theory; homological algebra {For commutative rings see 13Dxx, for associative rings 16Exx, for groups 20Jxx, for topological groups and related structures 57Txx; see also 55Nxx and 55Uxx for algebraic topology} |
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*19-xx $K$-theory [See also 16E20, 18F25] |
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*20-xx Group theory and generalizations |
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*22-xx Topological groups, Lie groups {For transformation groups, see 54H15, 57Sxx, 58-xx. For abstract harmonic analysis, see 43-xx} |
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*26-xx Real functions [See also 54C30] |
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*28-xx Measure and integration {For analysis on manifolds, see 58-xx} |
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*30-xx Functions of a complex variable {For analysis on manifolds, see 58-xx} |
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*31-xx Potential theory {For probabilistic potential theory, see 60J45} |
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*32-xx Several complex variables and analytic spaces {For infinite-dimensional holomorphy, see 46G20, 58B12} |
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*33-xx Special functions (33-xx deals with the properties of functions as functions) {For orthogonal functions, see 42Cxx; for aspects of combinatorics, see 05Axx; for number-theoretic aspects, see 11-xx; for representation theory, see 22Exx} |
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*34-xx Ordinary differential equations |
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*35-xx Partial differential equations |
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*37-xx Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-xx] |
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*39-xx Difference and functional equations |
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*40-xx Sequences, series, summability |
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*41-xx Approximations and expansions {For all approximation theory in the complex domain, see 30Exx, 30E05 and 30E10; for all trigonometric approximation and interpolation, see *42Axx, 42A10 and 42A15; for numerical approximation, see 65Dxx} |
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*42-xx Fourier analysis |
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*43-xx Abstract harmonic analysis {For other analysis on topological and Lie groups, see 22Exx} |
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44-xx Integral transforms, operational calculus {For fractional derivatives and integrals, see 26A33. For Fourier transforms, see 42A38, 42B10. For integral transforms in distribution spaces, see 46F12. For numerical methods, see 65R10} |
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45-xx Integral equations |
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46-xx Functional analysis {For manifolds modeled on topological linear spaces, see 57N20, 58Bxx} |
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47-xx Operator theory |
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49-xx Calculus of variations and optimal control; optimization [See also 34H05, 34K35, 65Kxx, 90Cxx, 93-xx] |
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51-xx Geometry {For algebraic geometry, see 14-xx} |
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52-xx Convex and discrete geometry |
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53-xx Differential geometry {For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx} |
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54-xx General topology {For the topology of manifolds of all dimensions, see 57Nxx} |
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55-xx Algebraic topology |
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57-xx Manifolds and cell complexes {For complex manifolds, see 32Qxx} |
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58-xx Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 32Wxx, 46-xx, 47Hxx, 53Cxx] {For geometric integration theory, see 49Q15} |
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60-xx Probability theory and stochastic processes {For additional applications, see 11Kxx, 62-xx, 90-xx, 91-xx,92-xx, 93-xx, 94-xx] |
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62-xx Statistics |
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65-xx Numerical analysis |
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68-xx Computer science {For papers involving machine computations and programs in a specific mathematical area, see Section -04 in that area} |
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70-xx Mechanics of particles and systems {For relativistic mechanics, see 83A05 and 83C10; for statistical mechanics, see 82-xx} |
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73-xx This section has been deleted {For mechanics of solids, see 74-xx} |
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74-xx Mechanics of deformable solids |
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76-xx Fluid mechanics {For general continuum mechanics, see 74Axx, or other parts of 74-xx} |
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78-xx Optics, electromagnetic theory {For quantum optics, see 81V80} |
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80-xx Classical thermodynamics, heat transfer {For thermodynamics of solids, see 74A15} |
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81-xx Quantum theory |
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82-xx Statistical mechanics, structure of matter |
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83-xx Relativity and gravitational theory |
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85-xx Astronomy and astrophysics {For celestial mechanics, see 70F15} |
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86-xx Geophysics [See also 76U05, 76V05] |
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90-xx Operations research, mathematical programming |
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91-xx Game theory, economics, social and behavioral sciences |
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92-xx Biology and other natural sciences |
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93-xx Systems theory; control {For optimal control, see 49-xx} |
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94-xx Information and communication, circuits |
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97-xx Mathematics education |
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[[de:Mathematics Subject Classification]] |
[[de:Mathematics Subject Classification]] |